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3 years ago

Explain how to use a number line to show that opposite quantities combine to make zero.

Mathematics

2 answers:

zhannawk [14.2K]3 years ago

8 0

Yes your answer is correct.

Anna71 [15]3 years ago

5 0

On the left side of the 0 put negative number starting with a -4 and and once you get to the 0 put 1 2 3 4

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g For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the curve and the direction trace

tamaranim1 [39]

Answer:

a) See the file below, b) $s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$ , c) $s \approx 9.715$

Step-by-step explanation:

a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.

b) The arc length formula is:

$s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$

c) The perimeter of that arc is approximately:

$s \approx (\frac{1}{4} + \frac{1}{8})\cdot 2 \pi\cdot \sqrt{\frac{3^{2}+5^{2}}{2} }$

$s \approx 9.715$

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3 years ago

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Fynjy0 [20]

4/20 x 5 = 20/100 = 20%

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inna [77]

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Sunny_sXe [5.5K]

10cm is the correct answer

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Step-by-step explanation:

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4 years ago